Original scientific paper

Loewner chains and parametric representation of biholomorphic mappings in complex Banach spaces

Hidetaka Hamada
Gabriela Kohr

Abstract

Let X be a complex Banach space and let B be the unit ball of X. In this paper we obtain sufficient conditions for biholomorphic mappings on B to have parametric representation. Also we study certain properties of Loewner chains, and we obtain infinite dimensional versions of some well known univalence criteria on the unit ball of .

Keywords

Biholomorphic mapping; Loewner chains; parametric representation; univalence criteria

Hrčak ID:

1263

URI

https://hrcak.srce.hr/1263

Publication date:

1.6.2004.

Visits: 968 *